Edit Profile (opens in new tab) Korolëv, Maksim Aleksandrovich Co-Author Distance Author ID: korolev.maxim-a Published as: Korolev, M. A.; Korolev, Maxim A.; Korolëv, M. A.; Korolev, Maxim; Korolëv, Maksim Aleksandrovich; Korolev, Maksim Aleksandrovich; Korolev, Maxim Aleksandrovich more...less Further Spellings: Королёв Максим Александрович External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 91 Publications since 1998, including 5 Additional arXiv Preprints Co-Authors: 29 Co-Authors with 29 Joint Publications 1,573 Co-Co-Authors all top 5 Co-Authors 61 single-authored 4 Karatsuba, Anatoliĭ Alekseevich 4 Laurinčikas, Antanas 4 Rezvyakova, Irina Sergeevna 3 Changa, Maris Evgen’evich 3 Konyagin, Sergeĭ Vladimirovich 2 Karatsuba, Ekaterina Anatol’evna 2 Ustinov, Alekseĭ Vladimirovich 1 Andreev, Nikolaĭ Nikolaevich 1 Bobkina, Tat’yana Gennad’evna 1 Bukhshtaber, Viktor Matveevich 1 Chubarikov, Vladimir Nikolaevich 1 Daniyarkhodzhaev, A. T. 1 Gong, Ke 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Götze, Friedrich 1 Gritsenko, Sergeĭ Aleksandrovich 1 Ivić, Aleksandar 1 Kaliada, Dzianis 1 Kalpokas, Justas 1 Kislyakov, Sergeĭ Vital’evich 1 Kozlov, Valeriĭ Vasil’evich 1 Orlov, Dmitri O. 1 Osipov, Yuriĭ Sergeevich 1 Popov, Dmitriĭ Aleksandrovich 1 Shparlinski, Igor E. 1 Shubin, Andrei V. 1 Steuding, Jörn 1 Tolev, Doychin I. 1 Treshchev, Dmitriĭ Valer’evich 1 Vsemirnov, Maxim 1 Yaskov, Pavel A. all top 5 Serials 16 Izvestiya: Mathematics 14 Doklady Mathematics 12 Proceedings of the Steklov Institute of Mathematics 9 Chebyshevskiĭ Sbornik 7 Mathematical Notes 6 Sbornik: Mathematics 4 Russian Mathematical Surveys 2 Journal of Number Theory 2 Aequationes Mathematicae 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Acta Arithmetica 1 Mathematika 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 St. Petersburg Mathematical Journal 1 Carpathian Journal of Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Research in Number Theory all top 5 Fields 87 Number theory (11-XX) 6 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 58 Publications have been cited 308 times in 121 Documents Cited by ▼ Year ▼ The argument of the Riemann zeta function. Zbl 1116.11070 Karatsuba, A. A.; Korolev, M. A. 22 2005 Incomplete Kloosterman sums and their applications. Zbl 1030.11039 Korolev, M. A. 16 2000 Behaviour of the argument of the Riemann zeta function on the critical line. Zbl 1215.11081 Karatsuba, A. A.; Korolev, M. A. 15 2006 Karatsuba’s method for estimating Kloosterman sums. Zbl 1365.11096 Korolev, Maxim A. 13 2016 Short Kloosterman sums with weights. Zbl 1252.11059 Korolëv, M. A. 11 2010 Gram’s law and Selberg’s conjecture on the distribution of zeros of the Riemann zeta function. Zbl 1257.11080 Korolev, M. A. 11 2010 A theorem on the approximation of a trigonometric sum by a shorter one. Zbl 1168.11030 Karatsuba, A. A.; Korolev, M. A. 10 2007 On short Kloosterman sums modulo a prime. Zbl 1402.11107 Korolev, M. A. 10 2016 New estimate for a Kloosterman sum with primes for a composite modulus. Zbl 1440.11150 Korolev, M. A. 10 2018 On the integral of Hardy’s function \(Z(t)\). Zbl 1239.11091 Korolëv, M. A. 9 2008 Short Kloosterman sums to powerful modulus. Zbl 1357.11069 Korolev, M. A. 8 2016 Negative values of the Riemann zeta function on the critical line. Zbl 1292.11094 Kalpokas, Justas; Korolev, Maxim A.; Steuding, Jörn 8 2013 Methods of estimating of incomplete Kloosterman sums. Zbl 1373.11059 Korolev, M. A. 8 2016 Generalized Kloosterman sum with primes. Zbl 1376.11064 Korolev, M. A. 8 2017 On Gram’s law in the theory of the Riemann zeta function. Zbl 1250.11081 Korolev, M. A. 7 2012 On a symmetric Diophantine equation with reciprocals. Zbl 1372.11051 Konyagin, S. V.; Korolev, M. A. 7 2016 Gram’s law in the theory of the Riemann zeta-function. I. Zbl 1361.11051 Korolev, M. A. 7 2016 Sums of algebraic trace functions twisted by arithmetic functions. Zbl 1469.11267 Korolev, Maxim; Shparlinski, Igor 7 2020 On large values of the Riemann zeta-function on short segments of the critical line. Zbl 1377.11093 Korolev, Maxim A. 7 2014 On large values of the function \(S(t)\) on short intervals. Zbl 1167.11313 Korolev, M. A. 6 2005 On nonlinear Kloosterman sum. Zbl 1440.11152 Korolev, M. A. 6 2016 A new application of the Gram points. Zbl 1470.11223 Korolev, Maxim; Laurinčikas, Antanas 6 2019 Gram’s law in the theory of the Riemann zeta-function. II. Zbl 1403.11056 Korolev, M. A. 5 2016 Gram’s law and the argument of the Riemann zeta function. Zbl 1274.11132 Korolev, Maxim 5 2012 Irreducible solutions of an equation involving reciprocals. Zbl 1434.11083 Konyagin, Sergei V.; Korolev, Maxim A. 5 2017 On a Diophantine inequality with reciprocals. Zbl 1446.11055 Korolev, M. A. 5 2017 Short Kloosterman sums with primes. Zbl 1440.11153 Korolev, M. A. 5 2019 On multiple zeros of the Riemann zeta-function. Zbl 1187.11027 Korolev, M. A. 4 2006 On large distances between consecutive zeros of the Riemann zeta-function. Zbl 1180.11030 Korolëv, M. A. 4 2008 On incomplete Gaussian sums. Zbl 1329.11084 Korolev, M. A. 4 2015 On Selberg formulae related to Gram’s law. Zbl 1321.11083 Korolëv, M. A. 4 2012 Elementary proof of an estimate for Kloosterman sums with primes. Zbl 1439.11195 Korolev, M. A. 4 2018 Kloosterman sums with multiplicative coefficients. Zbl 1440.11151 Korolev, M. A. 4 2018 On new results related to Gram’s law. Zbl 1303.11100 Korolëv, M. A. 4 2013 Divisors of a quadratic form with primes. Zbl 1450.11033 Korolev, M. A. 4 2018 On the large values of the Riemann zeta-function on the critical line. II. Zbl 1418.11119 Korolev, Maxim A. 3 2015 On the average number of power residues modulo a composite number. Zbl 1222.11116 Korolev, M. A. 3 2010 On small values of the Riemann zeta-function at Gram points. Zbl 1318.11107 Korolev, M. A. 3 2014 Approximation of an exponential sum by a shorter one. Zbl 1327.11055 Karatsuba, A. A.; Korolev, M. A. 3 2007 Shifted character sums with multiplicative coefficients. II. Zbl 1406.11076 Gong, K.; Jia, C.; Korolev, M. A. 3 2017 A new application of the Gram points. II. Zbl 1466.11058 Korolev, Maxim; Laurinčikas, Antanas 3 2020 On the Riemann-Siegel formula for the derivatives of the Hardy function. Zbl 1391.33004 Korolev, M. A. 2 2018 Kloosterman sums with primes and the solvability of one congruence with inverse residues. II. Zbl 1455.11116 Korolev, Maksim Aleksandrovich 2 2020 On the argument of the Riemann zeta function on the critical line. Zbl 1066.11038 Korolëv, M. A. 2 2003 New estimate for Kloosterman sums with primes. Zbl 1473.11157 Korolev, M. A.; Changa, M. E. 2 2020 Selberg’s conjecture concerning the distribution of imaginary parts of zeros of the Riemann zeta function. Zbl 1221.11182 Korolev, M. A. 1 2008 On large distances between neighboring zeros of the Riemann zeta function. Zbl 1156.11036 Korolev, M. A. 1 2007 On the primitive of the Hardy function \(Z(t)\). Zbl 1162.11045 Korolev, M. A. 1 2007 On Karatsuba’s problem concerning the divisor function. Zbl 1302.11076 Korolev, M. A. 1 2012 Moments of trigonometric polynomials and their applications in the theory of the Riemann zeta-function. Zbl 1301.30003 Korolev, M. A. 1 2014 Kloosterman sums over primes of composite moduli. Zbl 1469.11266 Korolev, Maxim A. 1 2020 On a Ramanujan identity and its generalizations. Zbl 1485.11126 Daniyarkhodzhaev, A. T.; Korolev, M. A. 1 2021 Sign change of the function \(S(t)\) on short intervals. Zbl 1084.11051 Korolev, M. A. 1 2005 The argument of the Riemann zeta function on the critical line. Zbl 1126.11332 Korolev, M. A. 1 2002 Large values of the Riemann zeta-function on short intervals of the critical line. Zbl 1391.11097 Korolev, M. A. 1 2015 Scientific achievements of Anatolii Alekseevich Karatsuba. Zbl 1286.01026 Changa, M. E.; Gritsenko, S. A.; Karatsuba, E. A.; Korolev, M. A.; Rezvyakova, I. S.; Tolev, D. I. 1 2013 On the conference to the memory of Anatoliĭ Alekseevich Karatsuba on number theory and applications. Zbl 1439.11003 Karatsuba, E. A.; Korolev, M. A.; Rezvyakova, I. S.; Chubarikov, V. N. 1 2015 On Jutila’s integral in the circle problem. Zbl 1539.11115 Korolev, Maxim A.; Popov, Dmitrii A. 1 2022 On Jutila’s integral in the circle problem. Zbl 1539.11115 Korolev, Maxim A.; Popov, Dmitrii A. 1 2022 On a Ramanujan identity and its generalizations. Zbl 1485.11126 Daniyarkhodzhaev, A. T.; Korolev, M. A. 1 2021 Sums of algebraic trace functions twisted by arithmetic functions. Zbl 1469.11267 Korolev, Maxim; Shparlinski, Igor 7 2020 A new application of the Gram points. II. Zbl 1466.11058 Korolev, Maxim; Laurinčikas, Antanas 3 2020 Kloosterman sums with primes and the solvability of one congruence with inverse residues. II. Zbl 1455.11116 Korolev, Maksim Aleksandrovich 2 2020 New estimate for Kloosterman sums with primes. Zbl 1473.11157 Korolev, M. A.; Changa, M. E. 2 2020 Kloosterman sums over primes of composite moduli. Zbl 1469.11266 Korolev, Maxim A. 1 2020 A new application of the Gram points. Zbl 1470.11223 Korolev, Maxim; Laurinčikas, Antanas 6 2019 Short Kloosterman sums with primes. Zbl 1440.11153 Korolev, M. A. 5 2019 New estimate for a Kloosterman sum with primes for a composite modulus. Zbl 1440.11150 Korolev, M. A. 10 2018 Elementary proof of an estimate for Kloosterman sums with primes. Zbl 1439.11195 Korolev, M. A. 4 2018 Kloosterman sums with multiplicative coefficients. Zbl 1440.11151 Korolev, M. A. 4 2018 Divisors of a quadratic form with primes. Zbl 1450.11033 Korolev, M. A. 4 2018 On the Riemann-Siegel formula for the derivatives of the Hardy function. Zbl 1391.33004 Korolev, M. A. 2 2018 Generalized Kloosterman sum with primes. Zbl 1376.11064 Korolev, M. A. 8 2017 Irreducible solutions of an equation involving reciprocals. Zbl 1434.11083 Konyagin, Sergei V.; Korolev, Maxim A. 5 2017 On a Diophantine inequality with reciprocals. Zbl 1446.11055 Korolev, M. A. 5 2017 Shifted character sums with multiplicative coefficients. II. Zbl 1406.11076 Gong, K.; Jia, C.; Korolev, M. A. 3 2017 Karatsuba’s method for estimating Kloosterman sums. Zbl 1365.11096 Korolev, Maxim A. 13 2016 On short Kloosterman sums modulo a prime. Zbl 1402.11107 Korolev, M. A. 10 2016 Short Kloosterman sums to powerful modulus. Zbl 1357.11069 Korolev, M. A. 8 2016 Methods of estimating of incomplete Kloosterman sums. Zbl 1373.11059 Korolev, M. A. 8 2016 On a symmetric Diophantine equation with reciprocals. Zbl 1372.11051 Konyagin, S. V.; Korolev, M. A. 7 2016 Gram’s law in the theory of the Riemann zeta-function. I. Zbl 1361.11051 Korolev, M. A. 7 2016 On nonlinear Kloosterman sum. Zbl 1440.11152 Korolev, M. A. 6 2016 Gram’s law in the theory of the Riemann zeta-function. II. Zbl 1403.11056 Korolev, M. A. 5 2016 On incomplete Gaussian sums. Zbl 1329.11084 Korolev, M. A. 4 2015 On the large values of the Riemann zeta-function on the critical line. II. Zbl 1418.11119 Korolev, Maxim A. 3 2015 Large values of the Riemann zeta-function on short intervals of the critical line. Zbl 1391.11097 Korolev, M. A. 1 2015 On the conference to the memory of Anatoliĭ Alekseevich Karatsuba on number theory and applications. Zbl 1439.11003 Karatsuba, E. A.; Korolev, M. A.; Rezvyakova, I. S.; Chubarikov, V. N. 1 2015 On large values of the Riemann zeta-function on short segments of the critical line. Zbl 1377.11093 Korolev, Maxim A. 7 2014 On small values of the Riemann zeta-function at Gram points. Zbl 1318.11107 Korolev, M. A. 3 2014 Moments of trigonometric polynomials and their applications in the theory of the Riemann zeta-function. Zbl 1301.30003 Korolev, M. A. 1 2014 Negative values of the Riemann zeta function on the critical line. Zbl 1292.11094 Kalpokas, Justas; Korolev, Maxim A.; Steuding, Jörn 8 2013 On new results related to Gram’s law. Zbl 1303.11100 Korolëv, M. A. 4 2013 Scientific achievements of Anatolii Alekseevich Karatsuba. Zbl 1286.01026 Changa, M. E.; Gritsenko, S. A.; Karatsuba, E. A.; Korolev, M. A.; Rezvyakova, I. S.; Tolev, D. I. 1 2013 On Gram’s law in the theory of the Riemann zeta function. Zbl 1250.11081 Korolev, M. A. 7 2012 Gram’s law and the argument of the Riemann zeta function. Zbl 1274.11132 Korolev, Maxim 5 2012 On Selberg formulae related to Gram’s law. Zbl 1321.11083 Korolëv, M. A. 4 2012 On Karatsuba’s problem concerning the divisor function. Zbl 1302.11076 Korolev, M. A. 1 2012 Short Kloosterman sums with weights. Zbl 1252.11059 Korolëv, M. A. 11 2010 Gram’s law and Selberg’s conjecture on the distribution of zeros of the Riemann zeta function. Zbl 1257.11080 Korolev, M. A. 11 2010 On the average number of power residues modulo a composite number. Zbl 1222.11116 Korolev, M. A. 3 2010 On the integral of Hardy’s function \(Z(t)\). Zbl 1239.11091 Korolëv, M. A. 9 2008 On large distances between consecutive zeros of the Riemann zeta-function. Zbl 1180.11030 Korolëv, M. A. 4 2008 Selberg’s conjecture concerning the distribution of imaginary parts of zeros of the Riemann zeta function. Zbl 1221.11182 Korolev, M. A. 1 2008 A theorem on the approximation of a trigonometric sum by a shorter one. Zbl 1168.11030 Karatsuba, A. A.; Korolev, M. A. 10 2007 Approximation of an exponential sum by a shorter one. Zbl 1327.11055 Karatsuba, A. A.; Korolev, M. A. 3 2007 On large distances between neighboring zeros of the Riemann zeta function. Zbl 1156.11036 Korolev, M. A. 1 2007 On the primitive of the Hardy function \(Z(t)\). Zbl 1162.11045 Korolev, M. A. 1 2007 Behaviour of the argument of the Riemann zeta function on the critical line. Zbl 1215.11081 Karatsuba, A. A.; Korolev, M. A. 15 2006 On multiple zeros of the Riemann zeta-function. Zbl 1187.11027 Korolev, M. A. 4 2006 The argument of the Riemann zeta function. Zbl 1116.11070 Karatsuba, A. A.; Korolev, M. A. 22 2005 On large values of the function \(S(t)\) on short intervals. Zbl 1167.11313 Korolev, M. A. 6 2005 Sign change of the function \(S(t)\) on short intervals. Zbl 1084.11051 Korolev, M. A. 1 2005 On the argument of the Riemann zeta function on the critical line. Zbl 1066.11038 Korolëv, M. A. 2 2003 The argument of the Riemann zeta function on the critical line. Zbl 1126.11332 Korolev, M. A. 1 2002 Incomplete Kloosterman sums and their applications. Zbl 1030.11039 Korolev, M. A. 16 2000 all cited Publications top 5 cited Publications all top 5 Cited by 95 Authors 36 Korolëv, Maksim Aleksandrovich 11 Shparlinski, Igor E. 7 Boyarinov, R. N. 7 Ivić, Aleksandar 6 Laurinčikas, Antanas 4 Karatsuba, Ekaterina Anatol’evna 3 Carneiro, Emanuel 3 Jutila, Matti Ilmari 3 Kalpokas, Justas 3 Šiaučiūnas, Darius 3 Simonič, Aleksander 3 Steuding, Jörn 3 Suriajaya, Ade Irma 3 Trudgian, Timothy S. 2 Changa, Maris Evgen’evich 2 Chirre, Andrés 2 Christ, Thomas 2 Garaev, Moubariz Z. 2 Jiang, Yujiao 2 Konyagin, Sergeĭ Vladimirovich 2 Lu, Guangshi 2 Odžak, Almasa 2 Rezvyakova, Irina Sergeevna 2 Sourmelidis, Athanasios 2 Tanigawa, Yoshio 1 Adiceam, Faustin 1 Bagshaw, Christian 1 Cao, Xiaodong 1 Castro Perelman, Carlos 1 Chandee, Vorrapan 1 Chen, Changhao 1 Çiçek, Fatma 1 Cully-Hugill, Michaela 1 de la Bretèche, Régis 1 Dixit, Atul 1 Dudek, Adrian W. 1 El Abdalaoui, Houcein 1 Ernvall-Hytönen, Anne-Maria 1 Finder, Renan 1 Fouvry, Etienne 1 Gabdullin, Mikhail R. 1 Garbaliauskienė, Virginija 1 Garunkštis, Ramūnas 1 Gath, Yoav A. 1 Gong, Ke 1 Granville, Andrew James 1 Gritsenko, Sergeĭ Aleksandrovich 1 Hakobyan, Tigran L. 1 Hiary, Ghaith Ayesh 1 Hough, Bob 1 Hua, Guodong 1 Huang, Jingjing 1 Kačinskaitė, Roma 1 Karatsuba, Anatoliĭ Alekseevich 1 Kargin, Vladislav 1 Kerr, Bryce 1 Laaksonen, Niko 1 LeClair, André 1 Lemke Oliver, Robert J. 1 Li, Hongze 1 Li, Huixi 1 Macaitienė, Renata 1 Mahatab, Kamalakshya 1 Milinovich, Micah B. 1 Minamide, T. Makoto 1 Munsch, Marc 1 Mussardo, Giuseppe 1 Nazrubloev, N. N. 1 Patel, Dhir 1 Petridis, Yiannis N. 1 Platt, David John 1 Popov, Dmitri A. 1 Rakhimov, A. O. 1 Rakhmonov, Zarullo Khusenovich 1 Ricotta, Guillaume 1 Royer, Emmanuel 1 Šarka, Paulius 1 Seraj, Samer 1 Sha, Min 1 Shanker, O. 1 Shteĭnikov, Yuriĭ Nikolaevich 1 Shubin, Andrei V. 1 Smajlović, Lejla 1 Soundararajan, Kannan 1 Steiner, Raphael Sebastian 1 Sušić, Medina 1 Tam, D. D. 1 Tolev, Doychin I. 1 Turnage-Butterbaugh, Caroline L. 1 Vostokov, Sergeĭ Vladimirovich 1 Weishäupl, Sebastian 1 Wu, Xiaosheng 1 Xi, Ping 1 Yang, Andrew 1 Zhai, Wenguang all top 5 Cited in 57 Serials 14 Proceedings of the Steklov Institute of Mathematics 11 Mathematical Notes 11 Journal of Number Theory 6 Journal of Mathematical Analysis and Applications 5 Doklady Mathematics 3 Lithuanian Mathematical Journal 3 Moscow University Mathematics Bulletin 3 Transactions of the American Mathematical Society 3 Sbornik: Mathematics 3 Chebyshevskiĭ Sbornik 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 2 Acta Arithmetica 2 Journal of the London Mathematical Society. Second Series 2 Aequationes Mathematicae 2 Izvestiya: Mathematics 2 Science China. Mathematics 2 Research in Number Theory 1 Problems of Information Transmission 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematika 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Acta Mathematica Hungarica 1 Probability Theory and Related Fields 1 Forum Mathematicum 1 Discrete Mathematics and Applications 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Turkish Journal of Mathematics 1 Finite Fields and their Applications 1 The Ramanujan Journal 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Integers 1 Journal of the Australian Mathematical Society 1 Computational Methods and Function Theory 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Geometric Methods in Modern Physics 1 International Journal of Number Theory 1 Japanese Journal of Mathematics. 3rd Series all top 5 Cited in 13 Fields 116 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 6 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year